Quantum relativistic treatment of plasmas are of interest in several
different contexts [1]}, [2]}, [3]}. Dense astrophysical objects can have a
Fermi energy approaching or exceeding the electron rest mass energy, the
strong magnetic fields of magnetars give raise to relativistic Landau
quantization, and the high plasma density in the early universe imply yet
new phenomena. In the laboratory, the continuous evolution of laser
intensity brings a variety of quantum relativistic phenomena accessible to
experimentalists. Upcoming laser facilities of interest in this context
includes e.g. the extreme light infrastructure (ELI) [4]}, [5]} and
the European x-ray free electron laser (XFEL) [6]}, [7]}, that
will facilitate experimental observations of various fundamental processes.
Already with existing technology, laser-induced spin polarization seems
possible [8]}, [9]}, [10]}. Moreover, radiation reaction might take place at least
partially in the quantum relativistic regime [11]}. A particular phenomena of
much interest is electron-positron pair production [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, that has received much
attention since this interesting process might eventually be viable in
the laboratory.
